A line intersects the points (-22, -14) and (-18, -12). What is the slope-intercept equation for this line? y=x+ [] Simplify the fraction completely.
Answer:
y=0.5x-3
Step-by-step explanation:
m=(-12+14)/(-18+22)=0.5
y+14=0.5(x+22)
y=0.5x-3
Can Somebody help me real quick?
Answer:The answer is (4 x -1)
Step-by-step explanation: How to solve this is tell the teacher I don’t know
The perimeter of parallelogram ABCD is 46 inches.
What is DA?
Answer:
Not enough information.
Step-by-step explanation:
AB + BC + CD + DA = 46
In a parallelogram, opposite sides are congruent.
AB + DA + AB + DA = 46
2AB + 2DA = 46
We have two unknowns and only one equation.
There is not enough information to answer the question.
Please help with any of this Im stuck and having trouble with pre calc is it basic triogmetric identities using quotient and reciprocal identities
How I was taught all of these problems is in terms of r, x, and y. Where sin = y/r, cos = x/r, tan = y/x, csc = r/y, sec = r/x, cot = x/y. That is how I will designate all of the specific pieces in each problem.
#3
Let's start with sin here. [tex]\frac{2\sqrt{5}}{5} = \frac{2}{\sqrt{5}}[/tex] Therefore, because sin is y/r, r = [tex]\sqrt{5}[/tex] and y = +2. Moving over to cot, which is x/y, x = -1, and y = 2. We know y has to be positive because it is positive in our given value of sin. Now, to find cos, we have to do x/r.
cos = [tex]\frac{-1}{\sqrt{5}} = \frac{-\sqrt{5}}{5}[/tex]
#4
Let's start with secant here. Secant is r/x, where r (the length value/hypotenuse) cannot be negative. So, r = 9 and x = -7. Moving over to tan, x must still equal -7, and y = [tex]4\sqrt{2}[/tex]. Now, to find csc, we have to do r/y.
csc = [tex]\frac{9}{4\sqrt{2}} = \frac{9\sqrt{2}}{8}[/tex]
The pythagorean identities are
sin^2 + cos^2 = 1,
1 + cot^2 = csc^2,
tan^2 + 1 = sec^2.
#5
Let's take a look at the information given here. We know that cos = -3/4, and sin (the y value), must be greater than 0. To find sin, we can use the first pythagorean identity.
sin^2 + (-3/4)^2 = 1
sin^2 + 9/16 = 1
sin^2 = 7/16
sin = [tex]\sqrt{7/16}[/tex] = [tex]\frac{\sqrt{7}}{4}[/tex]
Now to find tan using a pythagorean identity, we'll first need to find sec. sec is the inverse/reciprocal of cos, so therefore sec = -4/3. Now, we can use the third trigonometric identity to find tan, just as we did for sin. And, since we know that our y value is positive, and our x value is negative, tan will be negative.
tan^2 + 1 = (-4/3)^2
tan^2 + 1 = 16/9
tan^2 = 7/9
tan = -[tex]\sqrt{7/9} = \frac{-\sqrt{7}}{3}[/tex]
#6
Let's take a look at the information given here. If we know that csc is negative, then our y value must also be negative (r will never be negative). So, if cot must be positive, then our x value must also be negative (a negative divided by a negative makes a positive). Let's use the second pythagorean identity to solve for cot.
1 + cot^2 = [tex](\frac{-\sqrt{6}}{2})^{2}[/tex]
1 + cot^2 = 6/4
cot^2 = 2/4
cot = [tex]\frac{\sqrt{2}}{2}[/tex]
tan = [tex]\sqrt{2}[/tex]
Next, we can use the third trigonometric identity to solve for sec. Remember that we can get tan from cot, and cos from sec. And, from what we determined in the beginning, sec/cos will be negative.
[tex](\frac{2}{\sqrt{2}})^2[/tex] + 1 = sec^2
4/2 + 1 = sec^2
2 + 1 = sec^2
sec^2 = 3
sec = -[tex]\sqrt{3}[/tex]
cos = [tex]\frac{-\sqrt{3}}{3}[/tex]
Hope this helps!! :)
Answer:
sin(θ)=√7/4
tan(θ)= - √7/3
Step-by-step explanation:
c^2= √(4^2-(-3^2))
c^2= √(16-9)
c^2= √7
sin(θ)= opp/hyp=√7/4
tan(θ)= (opp )/adj= - √7/3
Sarah is creating a triangular birthday card for her teacher. In order to glue lace
around the outside of the card, Sarah needs to know the length of each side. She
knows that two of the sides measure 4 inches and 9 inches. Between which two
numbers must the third side of the card fall?
Answer:
6-12.
Step-by-step explanation:
Between 6 to 12 two numbers must the third side of the card fall.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that Sarah is creating a triangular birthday card for her teacher.
Thus in order to glue lace around the outside of the card, Sarah needs to know the length of each side.
It should be known that two of the sides measure 4 inches and 9 inches.
Therefore, in between 6 to 12 the third number must be lie.
More about the Algebra link is given below.
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Frank wants to know how many people live in each household in his town. He conducts a random survey of 10 people and asks how many people live in their household. His results are shown in the table.
1 6 2 4 4 3 5 5 2 8
Calculate the MAD of the number of people per household.
Answer:
1.6
Step-by-step explanation:
The average of this ten number is (1+6+2+4+4+3+5+5+2+8)/10=4
So the MAD is (|1-4|+|6-4|+|2-4|+|4-4|+|4-4|+|3-4|+|5-4|+|5-4|+|2-4|+|8-4|)/10
=(3+2+2+0+0+1+1+1+2+4)/10
=1.6
PLEASE HELP!
The terminal side of an angle in standard position passes through P(15,-8). What is the value of sin e?
d
15
sin A=-
17
sin =-
8
17
8
sin =
17
sin e
15
17
Answer:
I dont know what sin is
Step-by-step explanation:
Esmeralda cut out two paper rectangles and glued them together as shown in the figure.
Find the area of the Esmeralda's composite figure.
A)32 cm
B)40 cm
C)48 cm
D)56 cm
help plz helpppppppppppp plzzzzzzzzz
it's 5 days, if you need an explanation feel free
Answer:
5 days
Step-by-step explanation:
for 100 people------------ last for 8 days
for 1 person-----------------last for 8x100=800 days
Therefore, for 160 people----------------last for(800/160)=5 days.
Randy rented a rectangular storage shed with the volume of 357 ft does it sheds height is 8 and 1/2 ft and the width of is 6 ft what is the length of the shed
Answer:
7 feets
Step-by-step explanation:
Volume of shed, V = 357 feet³
Height of shed, H= 8 1/2 fts
Width of shed, W = 6 ft
Using the relation :
Volume = Length * width * height
357 = L * 6 ft * 17/2 feets
357 feets³ = L * 51 feets²
L = 357 feets³ / 51 feets²
Length, L = 7 feets
To make a certain shade of paint, Frazier mixed 4/9 cups of white paint with 2 and 2/9 cups of blue paint.
How many cups of blue paint should she mix with 6/7 cups of white paint to make the same shade?
good luck:)
Answer:
Here, it's ratio
Step-by-step explanation:
4/9: 2 and 2/9
simplify
1:5
6/7:x
6/7 x 5 is....
30/7
Mixed number is 4 2/7
BLAM!!!
Write an Equation using the following arithmetic sequence: 24, 18, 12
Answer:
24-18=6+6+12
hope this helps you!!
Step-by-step explanation:
Give the sum in simplest form: 2x/w + y/w
Answer:
[tex]\frac{2x+y}{w}[/tex]
HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!!
Answer:
B) ΔGRS ≈ ΔART by SAS Similarity
Step-by-step explanation:
can someone help me out in this, ill give brainliest if correct, you can answer by doing it in a paper and taking a picture of it or just find out another way
Answer:
Answering so you can give other person branliest
Why am i wrong? Trigonometric Ratios. Real answers only!
Answer:
You may have gotten the opposite and adjacent mixed up.
[tex]\frac{24}{7}[/tex]
Step-by-step explanation:
An easy way to remember these trigonometric ratios is by using SOHCAHTOA, where:
SOH stands for-
[tex]Sine=\frac{Opposite}{Hypotenuse}[/tex]
CAH stands for-
[tex]Cosine=\frac{Adjacent}{Hypotenuse}[/tex]
TOA stands for-
[tex]Tangent=\frac{Opposite}{Adjacent}[/tex]
We are asked to find tan 74° given the right triangle. To find this, we must find the lengths of the opposite side and the adjacent side of the 74° angle. From looking at the triangle, we can see that the side opposite from the 74° angle is 24, and the adjacent is 7. So plugging it into the trigonometric ratio that we found using SOHCAHTOA, we find that:
[tex]tan74=\frac{24}{7}[/tex]
So the answer would be [tex]\frac{24}{7}[/tex]
Seeing as how you picked [tex]\frac{7}{24}[/tex] as your answer, it seems that you may have gotten the opposite and the adjacent mixed up or used [tex]tangent=\frac{adjacent}{opposite}[/tex] as your trigonometric ratio.
I hope you find my answer and explanation to be helpful. Happy studying.
Para fazer um serviço de operário leva 70 dias . Se trabalhou 25 dias num mês e 24 dias no outro mês , quantos dias faltam para ele terminar o serviço?
Responda:
21 dias
Explicação passo a passo:
Total de dias necessários = 70 dias
Dias usados no mês 1 = 25 dias
Dias usados no mês 2 = 24 dias
Dias usados no total = 24 + 25 = 49 dias
Dias restantes :
70 dias - 49 dias
= 21 dias
The number of carbon atoms in a fossil is given by the function, = 5,100(0.95),wherexrepresentsthenumberofyearssincebeing discovered.
Answer:
Percent of change each year = 5%
Step-by-step explanation:
P.S - The exact question is -
Given - The number of carbon atoms in a fossil is given by the function,
y (x)= [tex]5100(0.95)^{x}[/tex], where x represents the number of years since
being discovered.
To find - What is the percent of change each year? Explain how you arrived
at your answer
Proof -
Given that, the number of carbon atoms in a fossil is y(x) = [tex]5100(0.95)^{x}[/tex]
Initially, the number of fossils be
y(0) = [tex]5100(0.95)^{0}[/tex] = 5100
After 1 year, The number of fossils be
y(1) = [tex]5100(0.95)^{1}[/tex] = 5100(0.95) = 4845
Now,
Change in 1 year = y(0) - y(1) = 5100 - 4845 = 255
Now,
Percent of chance = [tex]\frac{255}{5100}[/tex] × 100%
= 0.05 × 100%
= 5%
⇒Percent of chance = 5%
∴ we get
Percent of change each year = 5%
Find the area of a triangular garden if the sides are approximately 6 feet, 14 feet, and 13 feet (to the nearest square foot).
546 ft2
39 ft2
10 ft2
578 ft2
Nred help, this shape have 9 edges and 6 faces help?
Answer:
Triangular prism
Step-by-step explanation:
A triangular prism has 9 edges, 6 vertices and 5 faces. I don't think there is any other shape which fits 9 edges and 6 faces.
Can someone help me, what do I put in the 4 boxes below?
Answer:
so simple pls follow up..
Inbox me
David can jog 3.5 miles in 75 minutes. What is David’s jogging rate per hour?
PLEASE SHOW YOUR WORK!!!!
will give brainliest!
The points (1, 4) and (−3, 2) are the endpoints of a diameter of a circle. What is the equation of the circle?
Answer:
Step by step
Step-by-step explanation:
Since we have the endpoints of the diameter, the midpoint coordinates of the line segment joining them gives the centre of the circle.
That is, centre (a,b) = ( [1+(-3)]/2, [4+2]/2) = (-1,3)
Distance between the given points give the diameter and half of that is the radius length.
So, radius r = (1/2)* sqrt ( [1-(-3)]^2 + [4–2]^2) = sqrt(5)
Thus equation required is: (x-a)^2 + (y-b)^2 = r^2
So, (x+1)^2 + (y-3)^2 = 5
The equation of the circle is (x + 1)² + (y - 3)² = 5
How to determine the circle equation?The endpoints of the diameter are given as:
(1, 4) and (−3, 2)
Start by calculating the midpoint using:
Midpoint = 0.5 * (x₁ + x₂, y₁ + y₂)
So, we have:
Midpoint = 0.5 * (1 - 3, 4 + 2)
Evaluate
Midpoint = (-1, 3)
So, the center (a,b) of the circle is:
(a,b) = (-1,3)
Calculate the length of the diameter using:
D² =(x₁ - x₂)² + (y₁ - y₂)²
This gives
D² = (1 + 3)² + (4 - 2)²
D² = 20
Take the square roots
D = 2√5
Divide by 2 to calculate the radius
r = √5
Square both sides
r² = 5
The equation of the circle is then represented as:
(x - a)² + (y - b)² = r²
This gives
(x + 1)² + (y - 3)² = 5
Hence, the equation of the circle is (x + 1)² + (y - 3)² = 5
Read more about circle equations at:
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Given that £1 = $1.58
a) How much is £920 in $?
b) How much is $553 in £?
Write them equation of the line with the given slope and y-intercept. Slope is -2 and a y-intercept of 5
Answer:
y=-2x+5
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
What is 3200(0.045)(8)?
Answer:
1152
Step-by-step explanation:
Please help thank you so mcuh
Answer:
7.0
Step-by-step explanation:
Right angled triangle. To find the hypotenuse, use Pythagorean theorem.
Hypotenuse² = base² + altitude²
= 6.5² + 2.7²
= 42.25 + 7.29
= 49.54
hypotenuse = √49.54 = 7.04 = 7
Step-by-step explanation:
by using Pythagoras law
h²=p²+b²
missing angle =h let
h²=(2.7)²+(6.5)²
h=√(49.50)=7.03=7
The height of a skydiver jumping out of an airplane is given by n = -16t^2 + 3200. How long will it take the skydiver to reach the ground? Round to the nearest tenth of a second.
Answer:
0 = -16t² + 3200 → 16t²= 3200 → t² = 200 → t = 10√2 s ≈ 14 s
The time taken by the skydiver to reach the ground is 14.1 second.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Given that, the height of a skydiver jumping out of an airplane is given by n = -16t² + 3200.
Here, n=0
-16t² + 3200=0
-16t²=-3200
t²=200
t=√200
t=14.14
t=14.1 second
Therefore, the time taken by the skydiver to reach the ground is 14.1 second.
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Find the measure of Arc XY.
Answer:
arc XY = 46°
Step-by-step explanation:
the arc of an inscribed angle is equal to 2 x the inscribed angle
mXY
2m<XZY2(23)46°Expand the expression 9(2t-8)
Answer:
18t-72
Step-by-step explanation: